Initialize_AnyThread and CacheBones_AnyThread can be called repeatedly on sub-graphs below Saved Pose nodes when they are part of a linked anim graph and the main anim graph has yet to be initialized. This can happen when bTickAnimationOnSkeletalMeshInit is disabled, and LinkAnimClassLayers is called on the first frame that a mesh is active. LinkAnimClassLayers results in a call to Initialize_AnyThread and CacheBones_AnyThread on nodes within the linked graph's anim graph. But the synchronization counters are invalid as we use the counters from the parent graph (which hasn't been initialized yet).
There's no existing public thread on this issue, so head over to Questions & Answers just mention UE-296358 in the post.